Answer:
mean: 7.62
median: 8
mode: 9
Step-by-step explanation:
first you have to put the data set in order:
6,6,6,6,7,7,8,8,9,9,9,9,9
the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62
hope this helps!!
Answer:
B
Step-by-step explanation:
y= -x+18 and y= 3/4x+4
use slope intercept form: y=mx+b
m = slope
b = y-intercept
Answer:
She hiked 1,554 kilometers in all.
Step-by-step explanation:
Let the hiking kilometers for morning be x
Given that:
Hiking kilometers in afternoon = 666
According to given condition that afternoon kilometers are 25% less than morning:
x = 666 + 25% of x
By simplifying:
x = 666 + 0.25x
x - 0.25x = 666
0.75x = 666
Dividing both sides by 0.75 we get:
x = 666/0.75
x = 888 kilometers
She hiked 888 kilometers in morning
And
Total = 888 + 666 =1554 km
i hope it will help you!
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
